Spectral theory of higher order differential operators by examples

DOI10.4171/JST/48zbMath1285.34074MaRDI QIDQ361725

Don B. Hinton, Horst Behncke

Publication date: 19 August 2013

Published in: Journal of Spectral Theory (Search for Journal in Brave)

zbMATH Keywords

essential spectrumabsolutely continuous spectrumrapidly oscillating potentialLevinson formwell potential

Mathematics Subject Classification ID

Weyl theory and its generalizations for ordinary differential equations (34B20) General spectral theory of ordinary differential operators (34L05) General theory of ordinary differential operators (47E05) Linear ordinary differential equations and systems (34A30)

Related Items (3)

Real-parameter square-integrable solutions and the spectrum of differential operators ⋮ The spectrum of differential operators and square-integrable solutions ⋮ Non-negative extensions of Hamiltonian systems

Cites Work

• Spectral theory of Hamiltonian systems with almost constant coefficients
• Transformation theory of symmetric differential expressions
• Asymptotic integration of linear differential equations
• Spectral analysis of fourth order differential operators III
• Spectral analysis of higher order differential operators with unbounded coefficients
• SPECTRAL THEORY OF HIGHER ORDER DIFFERENTIAL OPERATORS
• The remainder in asymptotic integration
• Eigenfunctions, deficiency indices and spectra of odd-order differential operators
• Asymptotically constant linear systems
• Finite Dimensional Perturbations
• Spectral analysis of fourth order differential operators II
• The spectrum of differential operators of order \(2n\) with almost constant coefficients

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